Klosé was second clarinet at the Théâtre Italien to Frédéric Berr beginning in 1836, then to Iwan Müller following Berr's death in 1838, finally becoming solo clarinet when Müller left in 1841.
Klosé also wrote Air varie pour ophicleide et Piano (op. 21) which is available on a recording by the Trio Aenea, 2015.

In the Paris Conservatory, Klosé had many notable pupils including:[1]